1352400000 has 576 divisors, whose sum is σ = 5450276160. Its totient is φ = 295680000.

The previous prime is 1352399969. The next prime is 1352400001. The reversal of 1352400000 is 42531.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1352400001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58799989 + ... + 58800011.

It is an arithmetic number, because the mean of its divisors is an integer number (9462285).

Almost surely, 2^1352400000 is an apocalyptic number.

1352400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725138080).

1352400000 is an abundant number, since it is smaller than the sum of its proper divisors (4097876160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1352400000 is an frugal number, since it uses more digits than its factorization.

1352400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1352400000 is about 36774.9915023784. The cubic root of 1352400000 is about 1105.8640007961.

Adding to 1352400000 its reverse (42531), we get a palindrome (1352442531).

It can be divided in two parts, 135 and 2400000, that multiplied together give a square (324000000 = 18000²).

The spelling of 1352400000 in words is "one billion, three hundred fifty-two million, four hundred thousand".